Answer:

Step-by-step explanation:
Quadratic formula:
when the equation is 
The given equation is
. Let's first arrange this so its format looks like
:


Subtract 1 from both sides of the equation

Now, we can easily identify 3 as a, -2 as b and 0 as c. Plug these into the quadratic formula:

I hope this helps!
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The answer is option
D) r < 5 or r > – 1.
I'm going to graph each inequality below on a number line.
A) r > 5 or r > – 1.

The result is found just by joining those two intervals together. Actually that compound inequality only implies
r > – 1which does not represent all real numbers.
—————
B) r > 5 or r < – 1.

Numbers between – 1 and 5 (including them) are not included in the union, so you don't have all real numbers represented there either.
—————
C) r < 5 or r < – 1.

Numbers that are greater or equal to 5 are not in the union. So it does not represent all real numbers.
—————
D) r < 5 or r > – 1.
Now
all real numbers are included in the union. So this is the right choice.
Answer:
option D) r < 5 or r > – 1.
I hope this helps. =)
Answer:
1:3
Step-by-step explanation:
Since your scaling down you divide the smaller number by the larger number
7/21=1/3
=1:3
Hope this helps :)
Answer:
12 boys
Step-by-step explanation:
- Set up a proportion:
- Cross multiply, then divide: 3 × 16 = 48, 48 ÷ 4 = 12
I hope this helps!
Answer:
The surface area is 3140 feet².
What is Surface Area?
Surface area is the amount of space covering the outside of a three-dimensional shape.
Given that:
Diameter = 20 feet
radius = 20 ÷ 2 = 10 feet
Now, Surface area will be,
=2πr²+ 2πrh
= 2 × 3.14 × (10)² + 2 × 3.14 × 10 × 40
= 6.28 × 100 + 6.28 × 400
= 628 + 25.12 × 100
= 628+ 2512
= 3140 feet²
hence, the surface area is 3140 feet².
Step-by-step explanation: